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Abstract
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Oseen vortices are self-similar solutions to the vorticity equation in R2, it was proved by T.Gallay and C.E.Wayne in 2005 that these solutions are stable for any value of the circulation Reynolds number. The linearization of the system around an Oseen vortex naturally gives rise to a non-self-adjoint operator. In this talk, we shall discuss spectral and pseudospectral properties of the linearized operator in the fast rotation limit. In particular, we give some resolvent estimates for the operator along the imaginary axis, which are also optimal.
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